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Zanzabum
2 years ago
13

Solve the equation 9p+14=2p+35 show your work

Mathematics
2 answers:
Alla [95]2 years ago
8 0

Answer:

p=3

Step-by-step explanation:

9p+14=2p+35

Subtract 2p from each side

9p-2p+14=2p-2p+35

7p +14 = 35

Subtract 14 from each side

7p +14-14 = 35-14

7p = 21

Divide by 7

7p/7= 21/7

p=3

m_a_m_a [10]2 years ago
7 0

p = 3 ✅

<u>Step</u>-<u>by</u>-<u>step</u> <u>explanation</u>:

9p +14 = 2 p + 35 \\ ⇢ 9p - 2p = 35 - 14 \\ ⇢ 7p = 21 \\ ⇢ p =  \frac{21}{7}  \\ ⇢ p = 3

<u>To </u><u>verify</u>:-

9p + 14 = 2p + 35 \\ ⇢ 9 \times 3  + 14 = 2 \times 3 + 35 \\ ⇢ 27 + 14 = 6  + 35 \\ ⇢ 41 = 41 \\ ⇢ L.H.S.=R. H. S

Hence verified.

\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆

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